Slice a cube side 5 parallel to a face

Step by step

The question

Question: what shape is the cut, if we slice a cube side 5 parallel to the base, and what is its area?

A cross section is the flat face we see when we slice a solid.

1 Look at the cut

Here is the cube.

We slice it parallel to the base.

The red face is the cut.

2 Name the shape

Flat, the cut looks like this.

Every face of a cube is a square.

A cut parallel to a face is the same square.

So it is a square.

Careful!

All the sides of the cut are the same length, like the face.

So it is a square.

3 Find its area

A square's area is length times width: 25.

4 Check

Let's check: a cut parallel to the base has the shape of the base.

So the answer is right!

Let's look back.

First: look at the cut.

Then: name the shape.

Then: find its area.

Last: check.